title: Frustration induced oscillator death on networks.
abstract: An array of identical maps with Ising symmetry, with both positive and negative couplings, is studied. We divide the maps into two groups, with positive intra-group couplings and negative inter-group couplings. This leads to antisynchronization between the two groups which have the same stability properties as the synchronized state. Introducing a certain degree of randomness in signs of these couplings destabilizes the anti-synchronized state. Further increasing the randomness in signs of these couplings leads to oscillator death. This is essentially a frustration induced phenomenon. We explain the observed results using the theory of random matrices with nonzero mean. We briefly discuss applications to coupled differential equations.
authors.affiliation: PG Department of Physics, Rashtrasant Tukdoji Maharaj Nagpur University, Nagpur 440033, India.
authors.forename: Prashant M
authors.initials: PM
authors.lastname: Gade
authors.forename: Govindan
authors.initials: G
authors.lastname: Rangarajan